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Finding the Third Proportional to 634,389 and 983,795

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Solution

The third proportional to 634,389 and 983,795 is: 1,525,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,389 : 983,795 = 983,795 : x
  2. Step 2: Convert to fraction form
    634,389/983,795 = 983,795/x
  3. Step 3: Cross multiply
    634,389x = 983,795 × 983,795
  4. Step 4: Simplify right side
    634,389x = 967,852,602,025
  5. Step 5: Solve for x
    x = 967,852,602,025/634,389
  6. Step 6: Final answer
    x = 1,525,645.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.